A Compositional Framework for Passive Linear Networks
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Publication:4555338
zbMath1402.18005arXiv1504.05625MaRDI QIDQ4555338
Publication date: 20 November 2018
Full work available at URL: https://arxiv.org/abs/1504.05625
electric circuitcompact closed categoryblack boxprinciple of minimum powerhypergraph categorydecorated cospanLagrangian relationpassive linear network
Analytic circuit theory (94C05) Lagrangian submanifolds; Maslov index (53D12) Theories (e.g., algebraic theories), structure, and semantics (18C10)
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Uses Software
Cites Work
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- A Lagrangian representation of tangles
- The geometry of tensor calculus. I
- Braided tensor categories
- On the mathematical foundations of electrical circuit theory
- In control, almost from the beginning until the day after tomorrow
- A compositional framework for Markov processes
- Dagger Compact Closed Categories and Completely Positive Maps
- Corelations are the prop for extraspecial commutative Frobenius monoids
- Physics, Topology, Logic and Computation: A Rosetta Stone
- Categories for the Practising Physicist
- A Categorical Semantics of Signal Flow Graphs
- Decorated Cospans
- Calculating Colimits Compositionally
- Symplectic geometry
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- Synthesis of a Finite Two-terminal Network whose Driving-point Impedance is a Prescribed Function of Frequency
- Decorated Corelations
- Props in Network Theory
- Categories in Control
- A compositional framework for reaction networks
- The Behavioral Approach to Open and Interconnected Systems
